Question

What is `int x*e^(x^2) dx` ?

Answer 1

`int x*e^(x^2) dx = 1/2 e^(x^2) + C`

Explanation:

Since `d/(dt) e^t = e^t` and `d/(dx) x^2 = 2x`, using the chain rule we find:

`d/(dx) e^(x^2) = 2x*e^(x^2)`

So:

`int x*e^(x^2) dx = 1/2 e^(x^2) + C`